Investigation of the laminar viscous flow in a semi-porous channel in the presence of uniform magnetic field using optimal homotopy asymptotic method by Mohsen Shekholeslami, Hamid Reza Ashorynejad, Davood Doomairry, Ishak Hashim

“…The results of the OHAM were compared with homotopy analysis method (HAM) and variation iteration method (VIM) results.…”
Get full text

A new Quarter-Sweep Arithmetic Mean (QSAM) method to solve diffusion equations by Jumat Sulaiman, Mohamed Othman, Mohammad Khatim Hasan

“…The formulation of the QSAM method is developed by combining the concept of the quartersweep iteration and the Arithmetic Mean (AM) method known as one of two-step iterative methods. The QSAM method has been shown to be very fast as compared to the standard AM method. …”
Get full text

A new Quarter Sweep Arithmetic Mean (QSAM) method to solve diffusion equations by Jumat.Sulaiman, M. Othman, M.K. Hasan

“…The formulation of the QSAM method is developed by combining the concept of the quartersweep iteration and the Arithmetic Mean (AM) method known as one of two-step iterative methods. The QSAM method has been shown to be very fast as compared to the standard AM method. …”
Get full text

Solving eighth-order boundary value problems using differential transformation method by Che Haziqah Che Hussin, Arif Mandangan

“…Then we calculate the error of DTM and compare the results with other methods such as modified application of the variational iteration method (MVAM), homotopy perturbation method (HPM) and modified Adomian decomposition method (MADM). …”
Get full text
Get full text

Implementation of Quarter-Sweep Approach in Poisson Image Blending Problem by Jeng, Hong Eng, Azali Saudi, Jumat Sulaiman

“…In this paper, we aim to determine the capability of the family of Gauss-Seidel iterative methods to solve the Poisson image blending problem, which are the Full-Sweep Gauss-Seidel (FSGS), Half-Sweep Gauss-Seidel (HSGS) and Quarter-Sweep Gauss-Seidel (QSGS). …”
Get full text

A numerical assessment on water quality model using the half-sweep explicit group methods / M. H. Abdullah, J. Sulaiman and A. Othman by Abdullah, M. H., Sulaiman, J., Othman, A.

“…The 2, 3 and 4-point of Full-Sweep Explicit Group (FSEG) and Half-Sweep Explicit Group (HSEG) iterative methods together with the Red-Black (RB) ordering strategy were also presented to solve the systems of linear equations. …”
Get full text

Splitting strategies for preconditioned explicit group schemes by Norhashidah Hj. Mohd. Ali Yuzaimi Yunus, Nurul Fizaham Fijasri

“…Combining iterative methods with appropriate preconditioners is a worthwhile effort in improving the performances of the methods since the reliability of these methods have been shown to improve by the use of appropriate preconditioning techniques. …”

Cubic spline solutions for two-point boundary value problems using quarter-sweep SOR method by Norizyan Izzati Mohd Fauzi, Jumat Sulaiman

“…In this paper, iterative methods particularly a family of Successive Over Relaxation (SOR) methods are used to solve system of linear equations generated from discretization of second-order two-point boundary value problems through cubic spline approaches. …”
Get full text

A new scheme for solving goursat problem using newton-cotes integration formula / Ros Fadilah Deraman by Deraman, Ros Fadilah

“…Many approaches have been suggested to approximate the solutions of the Goursat partial differential equations such as the finite difference method, Runge-Kutta method, differential transform method, variational iteration method and homotopy analysis method. These methods focus on series expansion and numerical differentiation approaches including the forward and central differences in deriving the schemes. …”
Get full text

Polynomial and piecewise polynomial fitting in tight-binding model of carbon molecule by Haa, Wai Kang

Get full text

Complexity Reduction Approach for Solving Second Kind of Fredholm Integral Equations by Mohana Sundaram Muthuvalu, Elayaraja Aruchunan, Majid Khan Majahar Ali, Chew, Jackel Vui Lung, Andang Sunarto, Ramoshweu Lebelo, Jumat Sulaiman

“…Half- and quarter-sweep iterative methods are applied to solve dense linear systems generated from the discretization of the second kind of linear Fredholm integral equations using a repeated modified trapezoidal (RMT) scheme. …”
Get full text
Get full text

Application of gabor wavelet in Quantum Holography for image recognition by Tay, Nuo Wi, Loo, Chu Kiong, Perus, Mitja

“…The authors also suggest improvements through iterative methods for reconstruction.…”

Newton method with explicit group iteration for solving large scale unconstrained optimization problems by Khadizah Ghazali, Jumat Sulaiman, Y. Dasril, Darmesah Gabda

“…In order to evaluate the performance of this method, combination between Newton method with classical Iterative methods namely Jacobi and Gauss-Seidel iterations were used as reference method. …”
Get full text
Get full text

On unification of the strong convergence theorems for a finite family of total asymptotically nonexpansive mappings in banach spaces by Mukhamedov, Farrukh, Saburov, Mansoor

“…We unify all known iterative methods by introducing a new explicit iterative scheme for approximation of common fixed points of finite families of total asymptotically I-nonexpansive mappings. …”
Get full text

Numerical solution of first kind Fredholm integral equations with semi-smooth kernel: A two-stage iterative approach by Muthuvalu, Mohana Sundaram, Nor Aida Zuraimi, Md Noar, Harry, Setiawan, Isman, Kurniawan, Momani, Shaher

“…This paper examines two-stage iterative methods, specifically the Geometric Mean (GM) method and its variants, for solving dense linear systems associated with first-kind Fredholm integral equations with semi-smooth kernels. …”
Get full text

Improved hybrid methods in solving single variable nonlinear algebraic equations / Nor Hanim Abd Rahman by Abd Rahman, Nor Hanim

“…Secondly, some of the methods utilized successive approximation procedure to ensure every step of computing will converge to the desired root and one of the most common problems is the improper initial values for the iterative methods. Thus, this particular research aims to develop an improved numerical solution for solving nonlinear equations by using hybrid concept and higher order correctional terms. …”
Get full text

Differential Transformation Method for Solving Sixth-Order Boundary Value Problems of Ordinary Differential Equations by Che Haziqah Che Hussin, Arif Mandangan, Adem Kilicman, Muhamad Azlan Daud, Nurliyana Juhan

“…To show that the solution given by the DTM has higher level of accuracy, the absolute relative error of the DTM has been compared with the other methods such as Adomian decomposition method with Green’s function, modified decomposition method (MDM), homotopy perturbation method (HPM), Variational Iteration Method (VIM) and Quintic B-Spline Collocation Method. …”
Get full text
Get full text

Grey Wolf Optimizer for Solving Economic Dispatch Problems by Wong, Lo Ing, M. H., Sulaiman, Mohd Rusllim, Mohamed, Hong, Mee Song

“…The algorithm is then benchmarked on 20 generating units in economic dispatch, and the results are verified by a comparative study with Biogeography-based optimization (BBO), Lambda Iteration method (LI), Hopfield model based approach (HM), Cuckoo Search (CS), Firefly, Artificial Bee Colony (ABC), Neural Networks training by Artificial Bee Colony (ABCNN), Quadratic Programming (QP) and General Algebraic Modeling System (GAMS). …”
Get full text
Get full text

An analysis of blasius boundary layer solution with different numerical methods by Mustafa Saifudeen, Abdul Walid

“…The Variational Iteration method that has been used cannot be proceeding because the method only valid for the earlier flows and lost the pattern at the higher value of eta. …”
Get full text

Fourth order solutions of singularly perturbed boundary value problems by quarter-sweep iteration by Jumat Sulaiman, Mohammad Khatim Hasan, Mohamed Othman, Samsul Arifin Abdul Karim

“…For comparison purpose, we also discuss on how to derive the basic formulation and implementation for the family of Successive Over-Relaxation (SOR) iterative methods such as FSSOR, HSSOR and QSSOR in solving the corresponding linear systems generated from the fourth-order discretization schemes based on full, half- and quarter-sweep cases. …”
Get full text